Ternary Boolean Algebra
نویسنده
چکیده
منابع مشابه
A Set of Independent Axioms for Boolean Algebra
1. Introduction IT is well known that there are a number of sets of axioms for Boolean algebra. In this paper, I give a set of five independent axioms using conditioned disjunction as the ternary operation which is postulated. The ternary operation is most naturally defined on the set 2 n —this is done in §2. The theorem is stated in §3 together with a slight generalization of this result; the ...
متن کاملA Ternary Operation in Distributive Lattices
I t can be easily seen that the graph [l , p. 9 ] , 1 of the Boolean algebra B of 2 elements (consisting of the vertices and edges of an n-cube) has 2(n\) "link-automorphisms," whereas B has only (n\) lattice-automorphisms. In an unpublished book, one of us has developed new operations in B and other distributive lattices, which admit such a wider group of invariance. The purpose of this note i...
متن کاملAlgebras with ternary law of composition and their realization by cubic matrices
We study partially and totally associative ternary algebras of first and second kind. Assuming the vector space underlying a ternary algebra to be a topological space and a triple product to be continuous mapping we consider the trivial vector bundle over a ternary algebra and show that a triple product induces a structure of binary algebra in each fiber of this vector bundle. We find the suffi...
متن کاملGate Circuits with Feedback in Finite Algebras of Transients
Simulation of gate circuits is an efficient method of detecting hazards and oscillations that may occur in the presence of gate and wire delays. Ternary simulation, introduced by Eichelberger in 1965, consists of two algorithms, called A and B, and its results are well understood. Ternary simulation has been generalized by Brzozowski and Ésik in 2003 to an infinite algebra C and finite algebras...
متن کاملThe Development and Application of a Natural Duality for Ternary Algebras
This paper examines ternary algebras, their practical applications and how to translate between the natural dual and the restricted Priestley dual of these algebras. We begin by determining the term functions of the standard ternary algebra as an application of the Baker-Pixley Theorem. This is followed by an overview of some of the practical applications of ternary algebras. We establish the a...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 2007